On the stability of viscous free–surface flow supported by a rotating cylinder

DOI10.1098/rspa.2000.0780zbMath0984.76026OpenAlexW2065052937WikidataQ60501283 ScholiaQ60501283MaRDI QIDQ2748086

Richard C. Peterson, Peter K. Jimack, Mark A. Kelmanson

Publication date: 7 May 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/1713/1/jimackp16_PJK01.pdf

zbMATH Keywords

gravitysurface tensionfinite difference approximationrotating cylinderthin-film equationsload sheddinglarge-time dynamicsadaptive finite element schemeunsteady free-surface Stokes flow

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Rotation in hydrodynamic stability (76E07) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Computer-algebra multiple-timescale method for spatially periodic thin-film viscous-flow problems ⋮ Inertially induced cyclic solutions in thin-film free-surface flows ⋮ Pseudo-three-timescale approximation of exponentially modulated free-surface waves ⋮ Multiple-timescale asymptotic analysis of transient coating flows ⋮ Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear ⋮ On inertial effects in the Moffatt–Pukhnachov coating-flow problem ⋮ Capillary/gravity film flows on the surface of a rotating cylinder ⋮ Reduced-order modelling of thick inertial flows around rotating cylinders ⋮ Steady and unsteady solutions for coating flow on a rotating horizontal cylinder: Two-dimensional theoretical and numerical modeling ⋮ Three-dimensional solutions for coating flow on a rotating horizontal cylinder: Theory and experiment ⋮ Three-dimensional coating and rimming flow: a ring of fluid on a rotating horizontal cylinder ⋮ On the approach to the critical solution in leading order thin-film coating and rimming flow ⋮ On the depinning of a drop of partially wetting liquid on a rotating cylinder ⋮ On the multiple solutions of coating and rimming flows on rotating cylinders ⋮ On the calculation of normals in free-surface flow problems ⋮ Finite element simulation of three-dimensional free-surface flow problems

Uses Software

• ILUM